A position is determined for each fiducial marker of a plurality of fiducial markers in an image volume. Based on the determined positions, a position and orientation of the registration fixture with respect to the anatomical feature is determined. A position is determined for each tracked marker of a first plurality of tracked markers on the registration fixture and a second plurality of tracked markers on the robot arm in a tracking data frame. Based on the determined positions of tracked markers, a position and orientation of the registration fixture and the robot arm of a surgical robot with respect to the tracking space are determined.